Mr Blomfield told The Star his expenses claim, despite nearing £20,000, would not even match the full cost of renting a property for use while he is in London.

“I claim the full rent allowance in London but have only modest accommodation - a one-bedroom former council flat in a tower block,” he said. “The amount I can claim won’t even cover the rental cost.

“The amount also includes setting up my constituency office, which I have located outside the expensive area of the city centre for cost reasons.”

He added: “The real time to make an accurate comparison will be after 12 months of the new system, when people have submitted all their expenses.”

Angela Smith has also faced higher costs, as her constituency has been changed from Hillsborough to Penistone and Stocksbridge, while Mr Barron and Mr MacShane own the properties where they have their constituency offices, so face lower costs.

Deputy Prime Minister Nick Clegg submitted claims totalling £14,451.33 for the period from May to September.

They included mortgage interest costs of £842.47 a month and regular council tax bills of £180.

The rent on his constituency office in Sheffield Hallam cost the taxpayer £725 a month, and he spent £2,369 on “parliamentary support”.

His spokesman said: “These expenses claims are for a six month period. Nick claimed nothing in the period between May and August, so his claims are a little higher in these two months.

“Nick has claimed less than four of the five Labour MPs in Sheffield over the six month period.”

Ed Miliband, Doncaster North MP, was third cheapest, claiming £7,601.87. The figure included £134.89 for new letterheads following his election as Labour leader.